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Finding the Fourth Proportional to 82,911.92, 114,302.59 and 70,113.78

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Solution

The fourth proportional to 82,911.92, 114,302.59 and 70,113.78 is: 96,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,911.92 : 114,302.59 = 70,113.78 : x
  2. Step 2: Convert to fraction form
    82,911.92/114,302.59 = 70,113.78/x
  3. Step 3: Cross multiply
    82,911.92x = 114,302.59 × 70,113.78
  4. Step 4: Simplify right side
    82,911.92x = 8,014,186,473.41
  5. Step 5: Solve for x
    x = 8,014,186,473.41/82,911.92
  6. Step 6: Final answer
    x = 96,659.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.